Heisenberg's Equations of Motion with Fractional Derivatives

DOI10.1177/1077546307077469zbMath1161.81352OpenAlexW2018683885MaRDI QIDQ3504457

Sami I. Muslih, Derar M. Tarawneh, Dumitru Baleanu, Eqab M. Rabei

Publication date: 11 June 2008

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546307077469

zbMATH Keywords

quantizationHeisenberg equationsnon-conservative systemsFractional calculusfractional Hamiltonianfractional Poisson brackets

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33)

Related Items (12)

Fractional electromagnetic equations using fractional forms ⋮ On nonlinear fractional Klein-Gordon equation ⋮ Discrete-time fractional variational problems ⋮ Radiating subdispersive fractional optical solitons ⋮ Fractional odd-dimensional mechanics ⋮ Fractional optical solitons ⋮ The Fractional Virial Theorem ⋮ Hamiltonian structure of fractional first order Lagrangian ⋮ Applications of density matrix in the fractional quantum mechanics: Thomas-Fermi model and Hohenberg-Kohn theorems revisited ⋮ The dual action of fractional multi time Hamilton equations ⋮ The time independent fractional Schrödinger equation with position-dependent mass ⋮ A Legendre collocation method for fractional integro-differential equations

Cites Work

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• Dissipation in Quantum Mechanics. The Harmonic Oscillator
• POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES
• Nonconservative Lagrangian mechanics: a generalized function approach
• Extending Bauer's corollary to fractional derivatives
• Irreversibility and Generalized Noise

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